Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600cb |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
95681250000 = 24 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39450,-3015875] |
[a1,a2,a3,a4,a6] |
j |
37256083456/525 |
j-invariant |
L |
2.7100553251309 |
L(r)(E,1)/r! |
Ω |
0.33875691564137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200be1 100800fq1 4200o1 2520e1 |
Quadratic twists by: -4 8 -3 5 |